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Finding the Fourth Proportional to 2,027.85, 3,041.88 and 567.09

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Solution

The fourth proportional to 2,027.85, 3,041.88 and 567.09 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.85 : 3,041.88 = 567.09 : x
  2. Step 2: Convert to fraction form
    2,027.85/3,041.88 = 567.09/x
  3. Step 3: Cross multiply
    2,027.85x = 3,041.88 × 567.09
  4. Step 4: Simplify right side
    2,027.85x = 1,725,019.73
  5. Step 5: Solve for x
    x = 1,725,019.73/2,027.85
  6. Step 6: Final answer
    x = 850.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.